cart-elc

Source code for CART-ELC
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SparseCompressedBase.h (13606B)


      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_SPARSE_COMPRESSED_BASE_H
     11 #define EIGEN_SPARSE_COMPRESSED_BASE_H
     12 
     13 namespace Eigen { 
     14 
     15 template<typename Derived> class SparseCompressedBase;
     16   
     17 namespace internal {
     18 
     19 template<typename Derived>
     20 struct traits<SparseCompressedBase<Derived> > : traits<Derived>
     21 {};
     22 
     23 } // end namespace internal
     24 
     25 /** \ingroup SparseCore_Module
     26   * \class SparseCompressedBase
     27   * \brief Common base class for sparse [compressed]-{row|column}-storage format.
     28   *
     29   * This class defines the common interface for all derived classes implementing the compressed sparse storage format, such as:
     30   *  - SparseMatrix
     31   *  - Ref<SparseMatrixType,Options>
     32   *  - Map<SparseMatrixType>
     33   *
     34   */
     35 template<typename Derived>
     36 class SparseCompressedBase
     37   : public SparseMatrixBase<Derived>
     38 {
     39   public:
     40     typedef SparseMatrixBase<Derived> Base;
     41     EIGEN_SPARSE_PUBLIC_INTERFACE(SparseCompressedBase)
     42     using Base::operator=;
     43     using Base::IsRowMajor;
     44     
     45     class InnerIterator;
     46     class ReverseInnerIterator;
     47     
     48   protected:
     49     typedef typename Base::IndexVector IndexVector;
     50     Eigen::Map<IndexVector> innerNonZeros() { return Eigen::Map<IndexVector>(innerNonZeroPtr(), isCompressed()?0:derived().outerSize()); }
     51     const  Eigen::Map<const IndexVector> innerNonZeros() const { return Eigen::Map<const IndexVector>(innerNonZeroPtr(), isCompressed()?0:derived().outerSize()); }
     52         
     53   public:
     54     
     55     /** \returns the number of non zero coefficients */
     56     inline Index nonZeros() const
     57     {
     58       if(Derived::IsVectorAtCompileTime && outerIndexPtr()==0)
     59         return derived().nonZeros();
     60       else if(isCompressed())
     61         return outerIndexPtr()[derived().outerSize()]-outerIndexPtr()[0];
     62       else if(derived().outerSize()==0)
     63         return 0;
     64       else
     65         return innerNonZeros().sum();
     66     }
     67     
     68     /** \returns a const pointer to the array of values.
     69       * This function is aimed at interoperability with other libraries.
     70       * \sa innerIndexPtr(), outerIndexPtr() */
     71     inline const Scalar* valuePtr() const { return derived().valuePtr(); }
     72     /** \returns a non-const pointer to the array of values.
     73       * This function is aimed at interoperability with other libraries.
     74       * \sa innerIndexPtr(), outerIndexPtr() */
     75     inline Scalar* valuePtr() { return derived().valuePtr(); }
     76 
     77     /** \returns a const pointer to the array of inner indices.
     78       * This function is aimed at interoperability with other libraries.
     79       * \sa valuePtr(), outerIndexPtr() */
     80     inline const StorageIndex* innerIndexPtr() const { return derived().innerIndexPtr(); }
     81     /** \returns a non-const pointer to the array of inner indices.
     82       * This function is aimed at interoperability with other libraries.
     83       * \sa valuePtr(), outerIndexPtr() */
     84     inline StorageIndex* innerIndexPtr() { return derived().innerIndexPtr(); }
     85 
     86     /** \returns a const pointer to the array of the starting positions of the inner vectors.
     87       * This function is aimed at interoperability with other libraries.
     88       * \warning it returns the null pointer 0 for SparseVector
     89       * \sa valuePtr(), innerIndexPtr() */
     90     inline const StorageIndex* outerIndexPtr() const { return derived().outerIndexPtr(); }
     91     /** \returns a non-const pointer to the array of the starting positions of the inner vectors.
     92       * This function is aimed at interoperability with other libraries.
     93       * \warning it returns the null pointer 0 for SparseVector
     94       * \sa valuePtr(), innerIndexPtr() */
     95     inline StorageIndex* outerIndexPtr() { return derived().outerIndexPtr(); }
     96 
     97     /** \returns a const pointer to the array of the number of non zeros of the inner vectors.
     98       * This function is aimed at interoperability with other libraries.
     99       * \warning it returns the null pointer 0 in compressed mode */
    100     inline const StorageIndex* innerNonZeroPtr() const { return derived().innerNonZeroPtr(); }
    101     /** \returns a non-const pointer to the array of the number of non zeros of the inner vectors.
    102       * This function is aimed at interoperability with other libraries.
    103       * \warning it returns the null pointer 0 in compressed mode */
    104     inline StorageIndex* innerNonZeroPtr() { return derived().innerNonZeroPtr(); }
    105     
    106     /** \returns whether \c *this is in compressed form. */
    107     inline bool isCompressed() const { return innerNonZeroPtr()==0; }
    108 
    109     /** \returns a read-only view of the stored coefficients as a 1D array expression.
    110       *
    111       * \warning this method is for \b compressed \b storage \b only, and it will trigger an assertion otherwise.
    112       *
    113       * \sa valuePtr(), isCompressed() */
    114     const Map<const Array<Scalar,Dynamic,1> > coeffs() const { eigen_assert(isCompressed()); return Array<Scalar,Dynamic,1>::Map(valuePtr(),nonZeros()); }
    115 
    116     /** \returns a read-write view of the stored coefficients as a 1D array expression
    117       *
    118       * \warning this method is for \b compressed \b storage \b only, and it will trigger an assertion otherwise.
    119       *
    120       * Here is an example:
    121       * \include SparseMatrix_coeffs.cpp
    122       * and the output is:
    123       * \include SparseMatrix_coeffs.out
    124       *
    125       * \sa valuePtr(), isCompressed() */
    126     Map<Array<Scalar,Dynamic,1> > coeffs() { eigen_assert(isCompressed()); return Array<Scalar,Dynamic,1>::Map(valuePtr(),nonZeros()); }
    127 
    128   protected:
    129     /** Default constructor. Do nothing. */
    130     SparseCompressedBase() {}
    131 
    132     /** \internal return the index of the coeff at (row,col) or just before if it does not exist.
    133       * This is an analogue of std::lower_bound.
    134       */
    135     internal::LowerBoundIndex lower_bound(Index row, Index col) const
    136     {
    137       eigen_internal_assert(row>=0 && row<this->rows() && col>=0 && col<this->cols());
    138 
    139       const Index outer = Derived::IsRowMajor ? row : col;
    140       const Index inner = Derived::IsRowMajor ? col : row;
    141 
    142       Index start = this->outerIndexPtr()[outer];
    143       Index end = this->isCompressed() ? this->outerIndexPtr()[outer+1] : this->outerIndexPtr()[outer] + this->innerNonZeroPtr()[outer];
    144       eigen_assert(end>=start && "you are using a non finalized sparse matrix or written coefficient does not exist");
    145       internal::LowerBoundIndex p;
    146       p.value = std::lower_bound(this->innerIndexPtr()+start, this->innerIndexPtr()+end,inner) - this->innerIndexPtr();
    147       p.found = (p.value<end) && (this->innerIndexPtr()[p.value]==inner);
    148       return p;
    149     }
    150 
    151     friend struct internal::evaluator<SparseCompressedBase<Derived> >;
    152 
    153   private:
    154     template<typename OtherDerived> explicit SparseCompressedBase(const SparseCompressedBase<OtherDerived>&);
    155 };
    156 
    157 template<typename Derived>
    158 class SparseCompressedBase<Derived>::InnerIterator
    159 {
    160   public:
    161     InnerIterator()
    162       : m_values(0), m_indices(0), m_outer(0), m_id(0), m_end(0)
    163     {}
    164 
    165     InnerIterator(const InnerIterator& other)
    166       : m_values(other.m_values), m_indices(other.m_indices), m_outer(other.m_outer), m_id(other.m_id), m_end(other.m_end)
    167     {}
    168 
    169     InnerIterator& operator=(const InnerIterator& other)
    170     {
    171       m_values = other.m_values;
    172       m_indices = other.m_indices;
    173       const_cast<OuterType&>(m_outer).setValue(other.m_outer.value());
    174       m_id = other.m_id;
    175       m_end = other.m_end;
    176       return *this;
    177     }
    178 
    179     InnerIterator(const SparseCompressedBase& mat, Index outer)
    180       : m_values(mat.valuePtr()), m_indices(mat.innerIndexPtr()), m_outer(outer)
    181     {
    182       if(Derived::IsVectorAtCompileTime && mat.outerIndexPtr()==0)
    183       {
    184         m_id = 0;
    185         m_end = mat.nonZeros();
    186       }
    187       else
    188       {
    189         m_id = mat.outerIndexPtr()[outer];
    190         if(mat.isCompressed())
    191           m_end = mat.outerIndexPtr()[outer+1];
    192         else
    193           m_end = m_id + mat.innerNonZeroPtr()[outer];
    194       }
    195     }
    196 
    197     explicit InnerIterator(const SparseCompressedBase& mat)
    198       : m_values(mat.valuePtr()), m_indices(mat.innerIndexPtr()), m_outer(0), m_id(0), m_end(mat.nonZeros())
    199     {
    200       EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
    201     }
    202 
    203     explicit InnerIterator(const internal::CompressedStorage<Scalar,StorageIndex>& data)
    204       : m_values(data.valuePtr()), m_indices(data.indexPtr()), m_outer(0), m_id(0), m_end(data.size())
    205     {
    206       EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
    207     }
    208 
    209     inline InnerIterator& operator++() { m_id++; return *this; }
    210     inline InnerIterator& operator+=(Index i) { m_id += i ; return *this; }
    211 
    212     inline InnerIterator operator+(Index i) 
    213     { 
    214         InnerIterator result = *this;
    215         result += i;
    216         return result;
    217     }
    218 
    219     inline const Scalar& value() const { return m_values[m_id]; }
    220     inline Scalar& valueRef() { return const_cast<Scalar&>(m_values[m_id]); }
    221 
    222     inline StorageIndex index() const { return m_indices[m_id]; }
    223     inline Index outer() const { return m_outer.value(); }
    224     inline Index row() const { return IsRowMajor ? m_outer.value() : index(); }
    225     inline Index col() const { return IsRowMajor ? index() : m_outer.value(); }
    226 
    227     inline operator bool() const { return (m_id < m_end); }
    228 
    229   protected:
    230     const Scalar* m_values;
    231     const StorageIndex* m_indices;
    232     typedef internal::variable_if_dynamic<Index,Derived::IsVectorAtCompileTime?0:Dynamic> OuterType;
    233     const OuterType m_outer;
    234     Index m_id;
    235     Index m_end;
    236   private:
    237     // If you get here, then you're not using the right InnerIterator type, e.g.:
    238     //   SparseMatrix<double,RowMajor> A;
    239     //   SparseMatrix<double>::InnerIterator it(A,0);
    240     template<typename T> InnerIterator(const SparseMatrixBase<T>&, Index outer);
    241 };
    242 
    243 template<typename Derived>
    244 class SparseCompressedBase<Derived>::ReverseInnerIterator
    245 {
    246   public:
    247     ReverseInnerIterator(const SparseCompressedBase& mat, Index outer)
    248       : m_values(mat.valuePtr()), m_indices(mat.innerIndexPtr()), m_outer(outer)
    249     {
    250       if(Derived::IsVectorAtCompileTime && mat.outerIndexPtr()==0)
    251       {
    252         m_start = 0;
    253         m_id = mat.nonZeros();
    254       }
    255       else
    256       {
    257         m_start = mat.outerIndexPtr()[outer];
    258         if(mat.isCompressed())
    259           m_id = mat.outerIndexPtr()[outer+1];
    260         else
    261           m_id = m_start + mat.innerNonZeroPtr()[outer];
    262       }
    263     }
    264 
    265     explicit ReverseInnerIterator(const SparseCompressedBase& mat)
    266       : m_values(mat.valuePtr()), m_indices(mat.innerIndexPtr()), m_outer(0), m_start(0), m_id(mat.nonZeros())
    267     {
    268       EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
    269     }
    270 
    271     explicit ReverseInnerIterator(const internal::CompressedStorage<Scalar,StorageIndex>& data)
    272       : m_values(data.valuePtr()), m_indices(data.indexPtr()), m_outer(0), m_start(0), m_id(data.size())
    273     {
    274       EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
    275     }
    276 
    277     inline ReverseInnerIterator& operator--() { --m_id; return *this; }
    278     inline ReverseInnerIterator& operator-=(Index i) { m_id -= i; return *this; }
    279 
    280     inline ReverseInnerIterator operator-(Index i) 
    281     {
    282         ReverseInnerIterator result = *this;
    283         result -= i;
    284         return result;
    285     }
    286 
    287     inline const Scalar& value() const { return m_values[m_id-1]; }
    288     inline Scalar& valueRef() { return const_cast<Scalar&>(m_values[m_id-1]); }
    289 
    290     inline StorageIndex index() const { return m_indices[m_id-1]; }
    291     inline Index outer() const { return m_outer.value(); }
    292     inline Index row() const { return IsRowMajor ? m_outer.value() : index(); }
    293     inline Index col() const { return IsRowMajor ? index() : m_outer.value(); }
    294 
    295     inline operator bool() const { return (m_id > m_start); }
    296 
    297   protected:
    298     const Scalar* m_values;
    299     const StorageIndex* m_indices;
    300     typedef internal::variable_if_dynamic<Index,Derived::IsVectorAtCompileTime?0:Dynamic> OuterType;
    301     const OuterType m_outer;
    302     Index m_start;
    303     Index m_id;
    304 };
    305 
    306 namespace internal {
    307 
    308 template<typename Derived>
    309 struct evaluator<SparseCompressedBase<Derived> >
    310   : evaluator_base<Derived>
    311 {
    312   typedef typename Derived::Scalar Scalar;
    313   typedef typename Derived::InnerIterator InnerIterator;
    314   
    315   enum {
    316     CoeffReadCost = NumTraits<Scalar>::ReadCost,
    317     Flags = Derived::Flags
    318   };
    319   
    320   evaluator() : m_matrix(0), m_zero(0)
    321   {
    322     EIGEN_INTERNAL_CHECK_COST_VALUE(CoeffReadCost);
    323   }
    324   explicit evaluator(const Derived &mat) : m_matrix(&mat), m_zero(0)
    325   {
    326     EIGEN_INTERNAL_CHECK_COST_VALUE(CoeffReadCost);
    327   }
    328   
    329   inline Index nonZerosEstimate() const {
    330     return m_matrix->nonZeros();
    331   }
    332   
    333   operator Derived&() { return m_matrix->const_cast_derived(); }
    334   operator const Derived&() const { return *m_matrix; }
    335   
    336   typedef typename DenseCoeffsBase<Derived,ReadOnlyAccessors>::CoeffReturnType CoeffReturnType;
    337   const Scalar& coeff(Index row, Index col) const
    338   {
    339     Index p = find(row,col);
    340 
    341     if(p==Dynamic)
    342       return m_zero;
    343     else
    344       return m_matrix->const_cast_derived().valuePtr()[p];
    345   }
    346 
    347   Scalar& coeffRef(Index row, Index col)
    348   {
    349     Index p = find(row,col);
    350     eigen_assert(p!=Dynamic && "written coefficient does not exist");
    351     return m_matrix->const_cast_derived().valuePtr()[p];
    352   }
    353 
    354 protected:
    355 
    356   Index find(Index row, Index col) const
    357   {
    358     internal::LowerBoundIndex p = m_matrix->lower_bound(row,col);
    359     return p.found ? p.value : Dynamic;
    360   }
    361 
    362   const Derived *m_matrix;
    363   const Scalar m_zero;
    364 };
    365 
    366 }
    367 
    368 } // end namespace Eigen
    369 
    370 #endif // EIGEN_SPARSE_COMPRESSED_BASE_H